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The difference between the compound interest …

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The difference between the compound interest and the simple interest on certain sum for 2 year at 6 % per annul is ₹90 find the sum

Posted by Faiz Khan 2 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 2 years, 10 months ago

let the sum be P = Rs. 100.
time T = 2 years, rate of interest R = 6% per annum
simple interest = PRT/100= 100*6*2/100=
Rs 12
Compound amount= P( 1+R/ 100)^T
= 100*(1+6/100) ^2
= 112.36
therefore the compound interest = compound amount - principal
=112.36-100=12.36/-
the difference between the compound interest and simple interest = 12.36-12.00 = 0.36/-
if the difference between the CI and SI is Rs. 0.36 the principal = Rs. 100
if the difference between the CI and SI is Rs. 90 the principal = 100/0.36*90
= 25000
thus the sum is Rs. 25000.

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ANSWER

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CBSE > Class 09 > Mathematics